I’m not quite sure how to answer this question.
1 answer:
When two shapes are mathematically similar, that means that all their sides are in a proportion.
We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.
EH/AD = 6/9 = 2/3
The ratio of EFGH to ABCD is 2:3
Now we have to find BC.
Becuase they're in proportion, we can form this equation:
=
Cross multiply:
24 = 2*BC
Divide both sides by 2:
BC = 12 cm
Good luck!
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The text of the question is not visible in the answering window. I'll reproduce it here:
BD bisects <ABC.
m <ABD= 2.5x + 8.6
m<CBD = 3.5x - 3.4
Find m<ABC
Answer:
Step-by-step explanation:
We have an angle ABC and a line BD bisecting it.
If an angle is bisected, then the two formed angles are congruent, that is
Substituting the algebraic expressions for both angles:
Subtracting 8.6 and 3.5x:
Operating:
The two angles are:
As expected, both angles have the same measure.
The measure of the total angle ABC is twice any of those: